Step 1: Simplify both sides of the equation.
[tex]\frac{1}{6}[/tex]n=n+[tex]\frac{7}{8}[/tex]
Step 2: Subtract n from both sides.
[tex]\frac{1}{6}[/tex]n−n=n+[tex]\frac{7}{8}[/tex]−n
[tex]\frac{-5}{6}[/tex]n=[tex]\frac{7}{8}[/tex]
Step 3: Multiply both sides by [tex]\frac{6}{-5}[/tex].
([tex]\frac{6}{-5}[/tex])*([tex]\frac{-5}{6}[/tex]n)=([tex]\frac{6}{-5}[/tex])*([tex]\frac{7}{8}[/tex])
n=[tex]\frac{-21}{20}[/tex]